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Finding the Fourth Proportional to 324.48, 485.88 and 278.56

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Solution

The fourth proportional to 324.48, 485.88 and 278.56 is: 417.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.48 : 485.88 = 278.56 : x
  2. Step 2: Convert to fraction form
    324.48/485.88 = 278.56/x
  3. Step 3: Cross multiply
    324.48x = 485.88 × 278.56
  4. Step 4: Simplify right side
    324.48x = 135,346.73
  5. Step 5: Solve for x
    x = 135,346.73/324.48
  6. Step 6: Final answer
    x = 417.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.